{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Demagnetizing factors "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import the required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from fatiando import utils\n",
    "import mesher\n",
    "import triaxial_ellipsoid, prolate_ellipsoid, oblate_ellipsoid\n",
    "from plot_functions import savefig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set some plot parameters\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.dpi'] = 300.\n",
    "rcParams['font.size'] = 6\n",
    "rcParams['xtick.labelsize'] = 'medium'\n",
    "rcParams['ytick.labelsize'] = 'medium'\n",
    "rcParams['axes.labelsize'] = 'large'\n",
    "rcParams['legend.fontsize'] = 'medium'\n",
    "rcParams['savefig.dpi'] = 300."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Triaxial model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "a0 = 1000.\n",
    "b0 = 700.\n",
    "c0 = 200.\n",
    "\n",
    "# auxiliary variable\n",
    "u = np.linspace(0., 10., 100)\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_triaxial = []\n",
    "n22_triaxial = []\n",
    "n33_triaxial = []\n",
    "\n",
    "for ui in u:\n",
    "    a = a0 + ui*b0\n",
    "    b = b0 + ui*b0\n",
    "    c = c0 + ui*b0\n",
    "    ellipsoid = mesher.TriaxialEllipsoid(0, 0, 0, a, b, c, 10, 10, 10)\n",
    "    N1, N2, N3 = triaxial_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_triaxial.append(N1)\n",
    "    n22_triaxial.append(N2)\n",
    "    n33_triaxial.append(N3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prolate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 1000.\n",
    "m = np.linspace(1.02, 10., 100)\n",
    "a = b0*m\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_prolate = []\n",
    "n22_prolate = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.ProlateEllipsoid(0, 0, 0, ai, b0, 10, 10, 10)\n",
    "    N1, N2 = prolate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_prolate.append(N1)\n",
    "    n22_prolate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Oblate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# semi-axes (in m)\n",
    "b0 = 1000.\n",
    "m_oblate = np.linspace(0.02, 0.98, 100)\n",
    "a = b0*m_oblate\n",
    "\n",
    "# demagnetizing factors\n",
    "n11_oblate = []\n",
    "n22_oblate = []\n",
    "\n",
    "for ai in a:\n",
    "    ellipsoid = mesher.ProlateEllipsoid(0, 0, 0, b0, ai, 10, 10, 10)\n",
    "    N1, N2 = oblate_ellipsoid.demag_factors(ellipsoid)\n",
    "    n11_oblate.append(N1)\n",
    "    n22_oblate.append(N2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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9V871qAvZbTd44AEYPrz5dr//Pey8M0ydWpWyJEmSJHUhRQ3bZwDn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\nUr+kd7n7r4ZzrHzcfa2ktUXWlnf7V4//qo5eePRIyipcZ6d0wQXSd74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/f3dEP5MnV7pG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IMRsdcwxp0QEbcCPwR+j+xN7B1kL7Q7DPgo8EhEfKYSv0OSJEmSVFn1Frb3yefPltnvuXw+o4K1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YdFPmDBkCgwalqebZmDMHrrwSOnWC88+Hb78taJiSJEnSspRUsh1j/B44mTSVfAXg9hDCxyGE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\nSYUZtiVJkiRJKuz/A4Gir0/nhWgUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f146e037350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(3.27, 6))\n",
    "\n",
    "label_fontsize = 10\n",
    "label_tex_fontsize = 10\n",
    "\n",
    "plt.subplot(3,1,1)\n",
    "plt.plot([u.min(), u.max()], [1/3., 1/3.], '-k')\n",
    "plt.plot(u,n11_triaxial, label='$\\\\tilde{n}^{\\dagger}_{11}$', color='r')\n",
    "plt.plot(u,n22_triaxial, label='$\\\\tilde{n}^{\\dagger}_{22}$', color='g')\n",
    "plt.plot(u,n33_triaxial, label='$\\\\tilde{n}^{\\dagger}_{33}$', color='b')\n",
    "#plt.legend(loc='upper right', fontsize=6, ncol=3)\n",
    "plt.ylabel('demagnetizing factor')\n",
    "plt.xlabel('$u$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(u.min(), u.max())\n",
    "plt.ylim(0., 1.)\n",
    "plt.annotate(s='(a)', xy=(0.92,0.90), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize)\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(3,1,2)\n",
    "plt.plot([m.min(), m.max()], [1/3., 1/3.], '-k')\n",
    "plt.plot(m,n11_prolate, label='$\\\\tilde{n}^{\\dagger}_{11}$', color='r')\n",
    "plt.plot(m,n22_prolate, label='$\\\\tilde{n}^{\\dagger}_{22}$', color='g')\n",
    "#plt.legend(loc='upper right', fontsize=6, ncol=3)\n",
    "plt.ylabel('demagnetizing factor')\n",
    "plt.xlabel('$m$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(m.min(), m.max())\n",
    "plt.ylim(0., 1.)\n",
    "plt.annotate(s='(b)', xy=(0.92,0.90), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize)\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(3,1,3)\n",
    "plt.plot([m_oblate.min(), m_oblate.max()], [1/3., 1/3.], '-k')\n",
    "plt.plot(m_oblate,n11_oblate, label='$\\\\tilde{n}^{\\dagger}_{11}$', color='r')\n",
    "plt.plot(m_oblate,n22_oblate, label='$\\\\tilde{n}^{\\dagger}_{22}$', color='g')\n",
    "#plt.legend(loc='upper right', fontsize=6, ncol=3)\n",
    "plt.ylabel('demagnetizing factor')\n",
    "plt.xlabel('$m$', fontsize=label_tex_fontsize)\n",
    "plt.xlim(m_oblate.min(), m_oblate.max())\n",
    "plt.ylim(0., 1.)\n",
    "plt.annotate(s='(c)', xy=(0.92,0.90), \n",
    "              xycoords = 'axes fraction', color='k',\n",
    "              fontsize=label_fontsize)\n",
    "plt.grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "savefig('f02.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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